Related Articles ( delay differential equations )
Oscillatory Behavior of Higher-Order Delay Differential Equations
This paper is concerned with asymptotic and oscillatory properties of the nonlinear higher-order differential equation with delay argument. Some examples are given to illustrate our main result.
An Oscillation Criterion in Delay Differential Equations
Consider the first order linear delay differential equation x0(t) + p(t)x(τ(t)) = 0, t ≥ t0, where p is a continuous function of nonnegative real numbers and the argument τ(t) is not necessarily monotone. Based on an iterative technique, a new oscillation criterion is established when the well-known ...
A comparison between applications of the Lyapunov’s second (direct) method and fixed point theory
Inthisarticle,wewilldiscusstheapplicationoftheLyapunov’ssecondmethodandfixedpointtheoriestocertaindifferential equations of first and second order. First, we will introduce some basic information about these subjects, and later, we give their applications concerning some specific attitude of Solutions ...
Homotopy Sumudu Transformation Method for Solving Fractional Delay Differential Equations
In this article, A new accurate approximate solution for a nonlinear fractional delay differential equations are obtained using an effective algorithm so called homotopy analysis sumudu transformation method (HASTM). Some examples have been solved to demonstrate the methodology of this procedure. The ...